Evaluate sec(sen^-1 √3/2 ) Assume that all the angles are in Quadrant I.
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ANSWER
b. 2
EXPLANATION
The given expression is
[tex] \sec( \sin^{ - 1} ( \frac{ \sqrt{3} }{2} ) ) [/tex]
Since we are in the first quadrant, this simplifies to
[tex] \sec( 60 \degree) [/tex]
[tex] = \frac{1}{ \cos(60 \degree) } [/tex]
[tex] = \frac{1}{ \frac{1}{2} } [/tex]
This finally gives us:
[tex] = 2[/tex]
The correct choice is B.